6piles of marbles are arranged in a triangle pattern. each side of the triangle has a total of 9 marbles. add 1 more marble to one of the piles, so that the total number of marbles on each side remains 9. you are allowed to move the marbles but not take any out.

An energy drink company claims that its product increases students' memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a .

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an integer or a decimal.)